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Fill in the blanks in the table showing the relationship between units sold, total income, total cost, and profit.

Economics

ScanSolve AI Answer

Step-by-step solution

13 steps

Here are the calculations for the missing values in the table:

  • a) Total profits for 2 units sold:
  1. Identify Total Income (TR) and Total Cost (TC) for 2 units.

    $$
    TR = 18
    $$
    $$
    TC = 11
    $$
    
  2. Calculate Total Profits (TP) using the formula TP=TR−TCTP = TR - TC.

    $$
    TP = 18 - 11 = 7
    $$
    The value for (a) is $\boxed{\text{7}}$.
    
    • b) Total profits for 4 units sold:
  3. Identify Total Income (TR) and Total Cost (TC) for 4 units.

    $$
    TR = 28
    $$
    $$
    TC = 19
    $$
    
  4. Calculate Total Profits (TP) using the formula TP=TR−TCTP = TR - TC.

    $$
    TP = 28 - 19 = 9
    $$
    The value for (b) is $\boxed{\text{9}}$.
    
    • d) Profit per unit for 1 unit sold:
  5. Identify Total Income (TR) and Total Cost (TC) for 1 unit.

    $$
    TR = 10
    $$
    $$
    TC = 8
    $$
    
  6. Calculate Total Profits (TP) using the formula TP=TR−TCTP = TR - TC.

    $$
    TP = 10 - 8 = 2
    $$
    
  7. Calculate Profit per unit using the formula Profit per unit=TPUnits soldProfit\ per\ unit = \frac{TP}{Units\ sold}.

    $$
    Profit\ per\ unit = \frac{2}{1} = 2
    $$
    The value for (d) is $\boxed{\text{2}}$.
    
    • e) Profit per unit for 3 units sold:
  8. Identify Total Income (TR) and Total Cost (TC) for 3 units.

    $$
    TR = 24
    $$
    $$
    TC = 14
    $$
    
  9. Calculate Total Profits (TP) using the formula TP=TR−TCTP = TR - TC.

    $$
    TP = 24 - 14 = 10
    $$
    
  10. Calculate Profit per unit using the formula Profit per unit=TPUnits soldProfit\ per\ unit = \frac{TP}{Units\ sold}.

    $$
    Profit\ per\ unit = \frac{10}{3} \approx 3.33
    $$
    The value for (e) is $\boxed{\text{3.33}}$.
    
    • f) Profit per unit for 5 units sold:
  11. Identify Total Income (TR) and Total Cost (TC) for 5 units.

    $$
    TR = 30
    $$
    $$
    TC = 23
    $$
    
  12. Calculate Total Profits (TP) using the formula TP=TR−TCTP = TR - TC.

    $$
    TP = 30 - 23 = 7
    $$
    
  13. Calculate Profit per unit using the formula Profit per unit=TPUnits soldProfit\ per\ unit = \frac{TP}{Units\ sold}.

    $$
    Profit\ per\ unit = \frac{7}{5} = 1.4
    $$
    The value for (f) is $\boxed{\text{1.4}}$.
    
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